Due Apr 13, 2:59 AM EDT
Compute
Correct!
Compute
Correct!
Fill all the gaps in the sentences with o (write "small" in the answer without o), O (write "big" in the answer without o) or numbers in order to make correct statements: "By the definition of the big-O and little-o, one should assume, that if f= *****(g) then f=*****(g). Take, for instance, functions f(x)=sinx and g(x)=x as x→+∞. Since sinx/x→*****, then f= *****(g); but, in the same time ∣sinx∣≤1⋅∣x∣, then f= *****(g)."
Write answers in the order of gaps; separate by semi-colons.
Find the incorrect statements:
That's it
Compare f(x,y)=x2+y2 and f(x,y)=x2+y2
Assume that levels of the function f(x,y) are depicted in the following picture:

Which one of the pictures could possibly be the plot of
1

2

3

Correct!
Correct!
Compute the limit: (x,y)→(0,0)limx3+y3x2y If the limit does not exist, write "-1000"